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Fill in the Blank 12.5 points What is the greastest common factor of the following polynomial: 5b^3+4b^2-2b GCF: typeyouranswer

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Fill in the Blank 12.5 points
What is the greastest common factor of the following polynomial:
5b^3+4b^2-2b
GCF: typeyouranswer

Fill in the Blank 12.5 points What is the greastest common factor of the following polynomial: 5b^3+4b^2-2b GCF: typeyouranswer

Solución

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Adrianoélite · Tutor durante 8 años
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The greatest common factor of the polynomial \(5b^{3}+4b^{2}-2b\) is \(b\).

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## Step 1<br />The greatest common factor (GCF) of a polynomial is the largest expression that can be factored out of each term in the polynomial. In this case, we are looking for the GCF of the polynomial \(5b^{3}+4b^{2}-2b\).<br /><br />## Step 2<br />To find the GCF, we need to look at each term in the polynomial and identify the common factors. The common factors of the terms \(5b^{3}\), \(4b^{2}\), and \(-2b\) are \(b\) and \(1\).<br /><br />## Step 3<br />However, we need to find the greatest common factor, which means we need to choose the largest common factor. In this case, the largest common factor is \(b\).
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